Deconfinement and cold atoms in optical lattices

TL;DR

This paper investigates the transition from one-dimensional to higher-dimensional physics in coupled fermionic tubes using cold atom systems, revealing phase diagrams and potential for novel superfluid phases.

Contribution

It introduces a detailed analysis of dimensional crossover in coupled fermionic tubes, highlighting observable phase diagrams and the emergence of unconventional superfluid phases.

Findings

Phase diagram for isolated tubes characterized.

Possible realization of unusual superfluid phases.

Insights into dimensional crossover physics.

Abstract

Despite the fact that by now one dimensional and three dimensional systems of interacting particles are reasonably well understood, very little is known on how to go from the one dimensional physics to the three dimensional one. This is in particular true in a quasi-one dimensional geometry where the hopping of particles between one dimensional chains or tubes can lead to a dimensional crossover between a Luttinger liquid and more conventional high dimensional states. Such a situation is relevant to many physical systems. Recently cold atoms in optical traps have provided a unique and controllable system in which to investigate this physics. We thus analyze a system made of coupled one dimensional tubes of interacting fermions. We explore the observable consequences, such as the phase diagram for isolated tubes, and the possibility to realize unusual superfluid phases in coupled tubes systems.